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Finding the Fourth Proportional to 78,325.32, 117,604.62 and 31,669.32

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Solution

The fourth proportional to 78,325.32, 117,604.62 and 31,669.32 is: 47,551.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,325.32 : 117,604.62 = 31,669.32 : x
  2. Step 2: Convert to fraction form
    78,325.32/117,604.62 = 31,669.32/x
  3. Step 3: Cross multiply
    78,325.32x = 117,604.62 × 31,669.32
  4. Step 4: Simplify right side
    78,325.32x = 3,724,458,344.26
  5. Step 5: Solve for x
    x = 3,724,458,344.26/78,325.32
  6. Step 6: Final answer
    x = 47,551.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.